POLE-PLACEMENT IN DISCRETE-SYSTEMS BY USING SINGLE AND MULTIRATE SAMPLING

This paper deals with closed-loop pole-placement in discrete, linear s ystems under single and multirate sampling. The technique is extendabl e to hybrid systems, i.e. those involving both continuous and discrete substates. The sampling rates for the state, input and output compone nts are used as a controller design technique to achieve closed-loop p ole-placement since the controller, which is also discrete or hybrid i n the general case, can be periodically reparameterized, the main usef ul effect of which being the availability of multiple design gains who se number and value are under the designer's choice. The key design fa ctor in the multirate sampling design is that once the closed-loop run ning sampling period (i.e. that defining the closed-loop dynamics and thus the controller reparametrization periodicity) has been chosen, on e can use freedom in the choice of smaller sampling periods for the va rious plant input and output components as well as for those of the co ntroller state. All these sampling periods are chosen as submultiples of the closed-loop running sampling period. Copyright (C) 1996 publish ed by Elsevier Science Ltd